Converting 2.004 to a Fraction
Step-by-step explanation of how to convert 2.004 to a fraction

Result

2.004 =
501
250
Mixed number:
2
1
250

Step 1: Identify the number of decimal places

The decimal 2.004 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.004 × 1000 = 2004

Step 3: Write as a fraction

2.004 =

2004
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2004 and 1000.

GCD(2004, 1000) = 4

Divide both the numerator and denominator by the GCD:

2004
1000

=

2004 ÷ 4
1000 ÷ 4

=

501
250
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